Standard Model Vacua for Two-dimensional Compactifications
High Energy Physics - Theory
2011-01-04 v2 High Energy Physics - Phenomenology
Abstract
We examine the structure of lower-dimensional standard model vacua for two-dimensional compactifications (on a 2D torus and on a 2D sphere). In the case of the torus we find a new standard model vacuum for a large range of neutrino masses consistent with experiment. Quantum effects play a crucial role in the existence of this vacuum. For the compactification on a sphere the classical terms dominate the effective potential for large radii and a stable vacuum is achieved only by introducing a large magnetic flux. We argue that there are no two-dimensional standard model vacua for compactifications on a surface of genus greater than one.
Cite
@article{arxiv.1010.4302,
title = {Standard Model Vacua for Two-dimensional Compactifications},
author = {Jonathan M. Arnold and Bartosz Fornal and Mark B. Wise},
journal= {arXiv preprint arXiv:1010.4302},
year = {2011}
}
Comments
7 pages, 2 figures; v2: published in JHEP